78154672200 has 384 divisors, whose sum is σ = 278950003200. Its totient is φ = 17902080000.

The previous prime is 78154672159. The next prime is 78154672207. The reversal of 78154672200 is 227645187.

It is a super-2 number, since 2×78154672200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78154672207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74361675 + ... + 74362725.

It is an arithmetic number, because the mean of its divisors is an integer number (726432300).

Almost surely, 2^78154672200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78154672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139475001600).

78154672200 is an abundant number, since it is smaller than the sum of its proper divisors (200795331000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78154672200 is a wasteful number, since it uses less digits than its factorization.

78154672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 78154672200 in words is "seventy-eight billion, one hundred fifty-four million, six hundred seventy-two thousand, two hundred".